Merge pull request #131 from issp-center-dev/release

Release
issp-center-dev · Jun 14, 2022 · a1e6571 · a1e6571
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diff --git a/doc/en/locale/de/LC_MESSAGES/filespecification.po b/doc/en/locale/de/LC_MESSAGES/filespecification.po
@@ -1280,7 +1280,7 @@ msgid ""
 "**Description :** If CalcHS=1, an efficient algorithm for generating the "
 "restricted Hilbert space with the specified quantum number is used "
 "(Details of algorithm is shown in "
-"http://qlms.github.io/HPhi/develop/tips.pdf [in Japanese]). Default value"
+"https://www.pasums.issp.u-tokyo.ac.jp/wp-content/themes/HPhi/media/develop/tips.pdf [in Japanese]). Default value"
 " is 1 and the efficient algorithm is used."
 msgstr ""
 

diff --git a/doc/en/locale/de/LC_MESSAGES/howtouse.po b/doc/en/locale/de/LC_MESSAGES/howtouse.po
@@ -345,7 +345,7 @@ msgid "You can download :math:`{\\mathcal H}\\Phi` at the following location."
 msgstr ""
 
 #: ../../howtouse/installation_en.rst:6
-msgid "https://github.com/QLMS/HPhi/releases"
+msgid "https://github.com/issp-center-dev/HPhi/releases"
 msgstr ""
 
 #: ../../howtouse/installation_en.rst:8

diff --git a/doc/en/locale/de/LC_MESSAGES/index.po b/doc/en/locale/de/LC_MESSAGES/index.po
@@ -85,8 +85,8 @@ msgstr ""
 #: ../../index.rst:30
 msgid ""
 "You can download software and source codes of :math:`{\\mathcal H}\\Phi` "
-"from `GitHub page <https://github.com/QLMS/HPhi>`_ or `release page "
-"<https://github.com/QLMS/HPhi/releases>`_."
+"from `GitHub page <https://github.com/issp-center-dev/HPhi>`_ or `release page "
+"<https://github.com/issp-center-dev/HPhi/releases>`_."
 msgstr ""
 
 #: ../../index.rst:34

diff --git a/doc/en/locale/ja/LC_MESSAGES/filespecification.po b/doc/en/locale/ja/LC_MESSAGES/filespecification.po
@@ -1280,7 +1280,7 @@ msgid ""
 "**Description :** If CalcHS=1, an efficient algorithm for generating the "
 "restricted Hilbert space with the specified quantum number is used "
 "(Details of algorithm is shown in "
-"http://qlms.github.io/HPhi/develop/tips.pdf [in Japanese]). Default value"
+"https://www.pasums.issp.u-tokyo.ac.jp/wp-content/themes/HPhi/media/develop/tips.pdf [in Japanese]). Default value"
 " is 1 and the efficient algorithm is used."
 msgstr ""
 

diff --git a/doc/en/locale/ja/LC_MESSAGES/howtouse.po b/doc/en/locale/ja/LC_MESSAGES/howtouse.po
@@ -345,7 +345,7 @@ msgid "You can download :math:`{\\mathcal H}\\Phi` at the following location."
 msgstr ""
 
 #: ../../howtouse/installation_en.rst:6
-msgid "https://github.com/QLMS/HPhi/releases"
+msgid "https://github.com/issp-center-dev/HPhi/releases"
 msgstr ""
 
 #: ../../howtouse/installation_en.rst:8

diff --git a/doc/en/locale/ja/LC_MESSAGES/index.po b/doc/en/locale/ja/LC_MESSAGES/index.po
@@ -85,8 +85,8 @@ msgstr ""
 #: ../../index.rst:30
 msgid ""
 "You can download software and source codes of :math:`{\\mathcal H}\\Phi` "
-"from `GitHub page <https://github.com/QLMS/HPhi>`_ or `release page "
-"<https://github.com/QLMS/HPhi/releases>`_."
+"from `GitHub page <https://github.com/issp-center-dev/HPhi>`_ or `release page "
+"<https://github.com/issp-center-dev/HPhi/releases>`_."
 msgstr ""
 
 #: ../../index.rst:34

diff --git a/doc/en/source/algorithm/Lanczos_en.rst b/doc/en/source/algorithm/Lanczos_en.rst
@@ -147,8 +147,8 @@ Details of implementation
 For the Lanczos method, an initial vector is specified with ``initial_iv``:math:`(\equiv r_s)` defined in an input file for Standard mode or a ModPara file for Expert mode. The type of initial vector can be selected as a real number or complex number by using ``InitialVecType`` in a ModPara file.
 
 
- * For canonical ensemble and ``initial_iv``:math:`\geq 0`
-   A component of a target of the Hilbert space is given by
+ * For canonical ensemble and ``initial_iv``:math:`\geq 0`,
+   a component of a target of the Hilbert space is given by
 
    .. math::
  
@@ -157,8 +157,8 @@ For the Lanczos method, an initial vector is specified with ``initial_iv``:math:
    where :math:`N_{\rm dim}` is the total number of the Hilbert spaces and :math:`N_{\rm dim}/2` is added to avoid selecting a special Hilbert space for a default value ``initial_iv`` :math:`=1`.
    When the type of initial vector is selected as a real number, the coefficient value is given by :math:`1`, while when it is selected as a complex number, the value is given by :math:`(1+i)/\sqrt{2}`.
 
- * For a grand canonical ensemble or ``initial_iv`` :math:`<0`
-   The initial vector is given by using a random generator, i.e., the coefficients of all the components for the initial vector are given by random numbers. The seed is calculated as 
+ * For a grand canonical ensemble or ``initial_iv`` :math:`<0`,
+   the initial vector is given by using a random generator, i.e., the coefficients of all the components for the initial vector are given by random numbers. The seed is calculated as 
 
    .. math::
    

diff --git a/doc/en/source/algorithm/Realtime_en.rst b/doc/en/source/algorithm/Realtime_en.rst
@@ -7,14 +7,14 @@ In :math:`{\mathcal H}\Phi`, real time evolution calculation is done by using th
 
 .. math::
 
- |\Phi (t_n)\rangle = \exp^{-i {\cal H}  \Delta t_n}|\Phi (t_{n-1})\rangle,
+ |\Phi (t_n)\rangle = \exp (-i {\cal H}  \Delta t_n)|\Phi (t_{n-1})\rangle,
 
 where :math:`|\Phi(t_0)\rangle` is an initial wave function and :math:`t_n = \sum_{j=1}^n  \Delta t_j`.
-In calculation, we approximate :math:`\exp^{-i {\cal H}  \Delta t_n}` as
+In calculation, we approximate :math:`\exp (-i {\cal H}  \Delta t_n)` as
 
 .. math::
 
- \exp^{-i {\cal H}  \Delta t_n} =\sum_{l=0}^m \frac{1}{l!}(-i {\cal H}  \Delta t_n)^l .
+ \exp (-i {\cal H}  \Delta t_n) =\sum_{l=0}^m \frac{1}{l!}(-i {\cal H}  \Delta t_n)^l .
 
 Here, the cut-off integer :math:`m` can be set by `ExpandCoef` in `ModPara`.
 We can judge whether the expansion order is enough or not by checking the norm conservation :math:`\langle \Phi (t_n)|\Phi (t_n)\rangle=1` and energy conservation :math:`\langle \Phi (t_n)|\hat{\cal H}|\Phi (t_n)\rangle=E`.
diff --git a/doc/en/source/algorithm/TPQ_en.rst b/doc/en/source/algorithm/TPQ_en.rst
@@ -90,7 +90,8 @@ For the TPQ method, the initial vector is given by using a random generator, i.e
    123432+(n_{\rm run}+1)\times|r_s|+k_{\rm Thread}+N_{\rm Thread} \times k_{\rm Process},
 
 where :math:`r_s` is the number given by an input file and :math:`n_{\rm run}` is the number of runs. :math:`r_s` and the maximum value of :math:`n_{\rm run}` are defined by ``initial_iv`` and ``NumAve`` in an input file for Standard mode or a ModPara file for Expert mode, respectively. Random numbers are generated by using SIMD-oriented Fast Mersenne Twister (dSFMT) [3]_ . We can select the type of initial vector as a real number or complex number by using ``InitialVecType`` in a ModPara file.
-:math:`k_{\rm Thread}, N_{\rm Thread}, and k_{\rm Process}` indicate 
+:math:`k_{\rm Thread}, N_{\rm Thread},`
+and :math:`k_{\rm Process}` indicate 
 the thread ID, number of threads, process ID, respectively;
 the initial vector depends both on ``initial_iv`` and the number of parallelisms.
 

diff --git a/doc/en/source/conf.py b/doc/en/source/conf.py
@@ -56,7 +56,7 @@
 
 # General information about the project.
 project = u'HΦ Documentation'
-copyright = u'2021, The University of Tokyo'
+copyright = u'2022, The University of Tokyo'
 author = u'The University of Tokyo'
 
 # The version info for the project you're documenting, acts as replacement for

diff --git a/doc/en/source/filespecification/expertmode_en/InterAll_file_en.rst b/doc/en/source/filespecification/expertmode_en/InterAll_file_en.rst
@@ -13,7 +13,9 @@ integrals :math:`I_{ijkl\sigma_1\sigma_2\sigma_3\sigma_4}`,
    {\mathcal H}+=\sum_{i,j,k,l}\sum_{\sigma_1,\sigma_2, \sigma_3, \sigma_4}
    I_{ijkl\sigma_1\sigma_2\sigma_3\sigma_4}c_{i\sigma_1}^{\dagger}c_{j\sigma_2}c_{k\sigma_3}^{\dagger}c_{l\sigma_4}.
 
-For spin, the conditions :math:`i=j` and :math:`k=l` must be satisfied. An example of the file format is as follows.
+For the off-diagonal component, be sure to provide a pair of i1 sigma1 i2 sigma2 i3 sigma3 i4 sigma4 and i4 sigma4 i3 sigma3 i2 sigma2 i1 sigma1.
+For spin, the conditions :math:`i=j` and :math:`k=l` must be satisfied.
+An example of the file format is as follows.
 
 ::
 
@@ -138,4 +140,4 @@ Use rules
 
 .. raw:: latex
 
-   \newpage
+   \newpage
diff --git a/doc/en/source/howtouse/directorystructure_en.rst b/doc/en/source/howtouse/directorystructure_en.rst
@@ -15,9 +15,11 @@ When HPhi-xxx.tar.gz is unzipped, the following directory structure is composed.
  |--doc/
  |    |--en/
  |    |--ja/
- |    |--fourier/
+ |    |--tutorial/
+ |    |--tutorial_HPhi_en.pdf
  |    |--userguide_en.pdf
  |    |--userguide_jp.pdf
+ |--README.md
  |--samples/
  |--src/
  |    |--*.c

diff --git a/doc/en/source/howtouse/installation_en.rst b/doc/en/source/howtouse/installation_en.rst
@@ -3,23 +3,13 @@ Installation
 
 You can download :math:`{\mathcal H}\Phi` at the following location.
 
-https://github.com/QLMS/HPhi/releases
+https://github.com/issp-center-dev/HPhi/releases
 
 You can obtain the :math:`{\mathcal H}\Phi` directory by typing
 
 ``$ tar xzvf HPhi-xxx.tar.gz``
 
 :math:`{\mathcal H}\Phi` can be installed by using cmake.
-
-.. tip::
-
- | Before using cmake for sekirei, you must type
- | ``module load cmake``
- | :math:`{\mathcal H}\Phi` has been preinstalled on ISSP supercomputers.
- | If you want to use this preinstalled version, please type
- | ``source /home/issp/materiapps/hphi/hphivars.sh``
-.. | ``source /home/issp/materiapps/tool/env.sh``
-
 We can compile :math:`{\mathcal H}\Phi` as::
 
  cd $HOME/build/hphi

diff --git a/doc/en/source/index.rst b/doc/en/source/index.rst
@@ -27,7 +27,7 @@ This software was developed with the support of \"*Project for advancement of so
 
 Download
 --------
-You can download software and source codes of :math:`{\mathcal H}\Phi` from `GitHub page <https://github.com/QLMS/HPhi>`_ or `release page <https://github.com/QLMS/HPhi/releases>`_.
+You can download software and source codes of :math:`{\mathcal H}\Phi` from `GitHub page <https://github.com/issp-center-dev/HPhi>`_ or `release page <https://github.com/issp-center-dev/HPhi/releases>`_.
 
 
 Contents

diff --git a/doc/en/source/introduction_en.rst b/doc/en/source/introduction_en.rst
@@ -31,6 +31,10 @@ Contributors
 
 This software was developed by the following contributors.
 
+* ver.3.5.1 (released on 2022/6/14)
+
+* ver.3.5 (released on 2021/9/29)
+
 * ver.3.4 (released on 2020/6/2)
 
   * Developers
@@ -114,8 +118,7 @@ Operating environment
 
 :math:`{\mathcal H}\Phi` was tested on the following platforms
 
-* The supercomputer system-B \"sekirei\" and system-C \"enaga\" in ISSP
-* Fujitsu FX-10 
+* The supercomputer system-B \"ohtaka\" in ISSP
 * Linux PC + Intel compiler
 * Linux PC + GCC.
 * Mac + GCC.

diff --git a/doc/en/source/tutorial/fourier_en.rst b/doc/en/source/tutorial/fourier_en.rst
@@ -3,11 +3,5 @@
 Fourier transformation of correlation functions
 ===============================================
 
-This package has a utility which performs the Fourier transformation of the correlation function and plots that function.
-The manual of this utility is located in ::
-
- doc/fourier/ja/_build/html/index.html
- doc/fourier/ja/_build/latex/fourier.pdf
- doc/fourier/en/_build/html/index.html
- doc/fourier/en/_build/latex/fourier.pdf
+This package has a utility which performs the Fourier transformation of the correlation function and plots that function. For details, see Appendix A. 
 
diff --git a/doc/ja/locale/de/LC_MESSAGES/filespecification.po b/doc/ja/locale/de/LC_MESSAGES/filespecification.po
@@ -1280,7 +1280,7 @@ msgid ""
 "**Description :** If CalcHS=1, an efficient algorithm for generating the "
 "restricted Hilbert space with the specified quantum number is used "
 "(Details of algorithm is shown in "
-"http://qlms.github.io/HPhi/develop/tips.pdf [in Japanese]). Default value"
+"https://www.pasums.issp.u-tokyo.ac.jp/wp-content/themes/HPhi/media/develop/tips.pdf [in Japanese]). Default value"
 " is 1 and the efficient algorithm is used."
 msgstr ""
 

diff --git a/doc/ja/locale/de/LC_MESSAGES/howtouse.po b/doc/ja/locale/de/LC_MESSAGES/howtouse.po
@@ -345,7 +345,7 @@ msgid "You can download :math:`{\\mathcal H}\\Phi` at the following location."
 msgstr ""
 
 #: ../../howtouse/installation_en.rst:6
-msgid "https://github.com/QLMS/HPhi/releases"
+msgid "https://github.com/issp-center-dev/HPhi/releases"
 msgstr ""
 
 #: ../../howtouse/installation_en.rst:8

diff --git a/doc/ja/locale/de/LC_MESSAGES/index.po b/doc/ja/locale/de/LC_MESSAGES/index.po
@@ -85,8 +85,8 @@ msgstr ""
 #: ../../index.rst:30
 msgid ""
 "You can download software and source codes of :math:`{\\mathcal H}\\Phi` "
-"from `GitHub page <https://github.com/QLMS/HPhi>`_ or `release page "
-"<https://github.com/QLMS/HPhi/releases>`_."
+"from `GitHub page <https://github.com/issp-center-dev/HPhi>`_ or `release page "
+"<https://github.com/issp-center-dev/HPhi/releases>`_."
 msgstr ""
 
 #: ../../index.rst:34

diff --git a/doc/ja/locale/ja/LC_MESSAGES/filespecification.po b/doc/ja/locale/ja/LC_MESSAGES/filespecification.po
@@ -1280,7 +1280,7 @@ msgid ""
 "**Description :** If CalcHS=1, an efficient algorithm for generating the "
 "restricted Hilbert space with the specified quantum number is used "
 "(Details of algorithm is shown in "
-"http://qlms.github.io/HPhi/develop/tips.pdf [in Japanese]). Default value"
+"https://www.pasums.issp.u-tokyo.ac.jp/wp-content/themes/HPhi/media/develop/tips.pdf [in Japanese]). Default value"
 " is 1 and the efficient algorithm is used."
 msgstr ""
 

diff --git a/doc/ja/locale/ja/LC_MESSAGES/howtouse.po b/doc/ja/locale/ja/LC_MESSAGES/howtouse.po
@@ -345,7 +345,7 @@ msgid "You can download :math:`{\\mathcal H}\\Phi` at the following location."
 msgstr ""
 
 #: ../../howtouse/installation_en.rst:6
-msgid "https://github.com/QLMS/HPhi/releases"
+msgid "https://github.com/issp-center-dev/HPhi/releases"
 msgstr ""
 
 #: ../../howtouse/installation_en.rst:8

diff --git a/doc/ja/locale/ja/LC_MESSAGES/index.po b/doc/ja/locale/ja/LC_MESSAGES/index.po
@@ -85,8 +85,8 @@ msgstr ""
 #: ../../index.rst:30
 msgid ""
 "You can download software and source codes of :math:`{\\mathcal H}\\Phi` "
-"from `GitHub page <https://github.com/QLMS/HPhi>`_ or `release page "
-"<https://github.com/QLMS/HPhi/releases>`_."
+"from `GitHub page <https://github.com/issp-center-dev/HPhi>`_ or `release page "
+"<https://github.com/issp-center-dev/HPhi/releases>`_."
 msgstr ""
 
 #: ../../index.rst:34

diff --git a/doc/ja/source/algorithm/Lanczos_ja.rst b/doc/ja/source/algorithm/Lanczos_ja.rst
@@ -69,7 +69,7 @@ Lanczos法では、 :math:`\mathcal{K}_{n}({\mathcal H},\vec{x}_{0})`
    T_{n}=V_{n}^{\dagger}{\mathcal H} V_{n}\end{aligned}
 
 と変形されます。 ここで、
-:math:`V_{n}`\ を\ :math:`\vec{v}_{i}(i=0,1,\dots,n-1)`\ を
+:math:`V_{n}`\ は\ :math:`\vec{v}_{i}(i=0,1,\dots,n-1)`\ を
 並べた行列です。 :math:`T_{n}`\ は三重対角行列であり、 その対角成分は
 :math:`\alpha_{i}`, 副対角成分は\ :math:`\beta_{i}`\ で与えられます。
 この三重対角行列\ :math:`T_{n}`\ の

diff --git a/doc/ja/source/conf.py b/doc/ja/source/conf.py
@@ -54,7 +54,7 @@
 
 # General information about the project.
 project = u'HΦ マニュアル'
-copyright = u'2021, The University of Tokyo'
+copyright = u'2022, The University of Tokyo'
 author = u'The University of Tokyo'
 
 # The version info for the project you're documenting, acts as replacement for

diff --git a/doc/ja/source/filespecification/expertmode_ja/InterAll_file_ja.rst b/doc/ja/source/filespecification/expertmode_ja/InterAll_file_ja.rst
@@ -14,6 +14,7 @@ InterAll指定ファイル
 
 
 なお、スピンに関して計算する場合には、\ :math:`i=j, k=l`\ となるよう設定してください。
+また、オフダイアゴナル成分については、i1 sigma1 i2 sigma2 i3 sigma3 i4 sigma4 とi4 sigma4 i3 sigma3 i2 sigma2 i1 sigma1 のペアを必ず用意するようにしてください。
 以下にファイル例を記載します。
 
 ::

diff --git a/doc/ja/source/filespecification/standardmode_ja/Parameters_for_time-evolution.rst b/doc/ja/source/filespecification/standardmode_ja/Parameters_for_time-evolution.rst
@@ -17,7 +17,7 @@
    :math:`U_{\rm quench} \sum_i n_{i \uparrow} n_{i \downarrow}`\ が加えられる。
    ``"Pulse Laser"``, ``"AC Laser"``, ``"DC Laser"``\ では、
    ホッピング項に
-   :math:`-\sum_{i j \sigma} t_{i j} \exp[-i{\bf A}(t) \cdot ({\bf R}_i-{\bf R}_j)/(2\pi)] c^dagger_{i \sigma} c_{j \sigma}`
+   :math:`-\sum_{i j \sigma} t_{i j} \exp[-i{\bf A}(t) \cdot ({\bf R}_i-{\bf R}_j)/(2\pi)] c^{\dagger}_{i \sigma} c_{j \sigma}`
    のように位相因子が付く。
    ここで\ :math:`{\bf A}(t)`\ はベクトルポテンシャルであり、
    ``"Pulse Laser"``\ では

diff --git a/doc/ja/source/howtouse/directorystructure_ja.rst b/doc/ja/source/howtouse/directorystructure_ja.rst
@@ -15,9 +15,11 @@ HPhi-xxx.gzを解凍後に構成されるディレクトリ構成を以下に示
  |--doc/
  |    |--en/
  |    |--ja/
- |    |--fourier/
+ |    |--tutorial/
+ |    |--tutorial_HPhi_en.pdf
  |    |--userguide_en.pdf
  |    |--userguide_jp.pdf
+ |--README.md     
  |--samples/
  |--src/
  |    |--*.c

diff --git a/doc/ja/source/howtouse/installation_ja.rst b/doc/ja/source/howtouse/installation_ja.rst
@@ -3,28 +3,13 @@
 
 :math:`{\mathcal H}\Phi` は次の場所からダウンロードできます。
 
-https://github.com/QLMS/HPhi/releases
+https://github.com/issp-center-dev/HPhi/releases
 
 ダウンロードしたファイルを次のように展開してください。
 
 ``$ tar xzvf HPhi-xxx.tar.gz``
 
 :math:`{\mathcal H}\Phi`\ はcmakeを利用してインストールできます。
-
-
-.. tip::
-
- | 物性研スパコンシステムであるsekireiとenaga で cmake を利用するには
- | ``module load cmake``
- | をあらかじめ実行する必要があります。
- | なお、両システムでは :math:`{\mathcal H}\Phi` がプレインストールされております。
- | 詳しくは `スパコン公式ページ <http://www.issp.u-tokyo.ac.jp/supercom/visitor/softwaredev/softwareall/hphi>`_ をご参照ください。
- 
-.. | sekirei で cmake を利用するには
- | ``source /home/issp/materiapps/tool/env.sh``
- | をあらかじめ実行する必要があります。
-   
-
 :math:`{\mathcal H}\Phi`\ を展開したディレクトリのパスを$PathTohphi
 、ビルドディレクトリを$HOME/build/hphi
 (任意の場所を指定可能)とした場合に、 ::

diff --git a/doc/ja/source/index.rst b/doc/ja/source/index.rst
@@ -26,7 +26,7 @@ Mitsuaki Kawamura, Kazuyoshi Yoshimi, Takahiro Misawa, Youhei Yamaji, Synge Todo
 
 ダウンロード
 ------------------
-:math:`{\mathcal H}\Phi` のソースコードは `GitHub page <https://github.com/QLMS/HPhi>`_ or `release page <https://github.com/QLMS/HPhi/releases>`_ からダウンロードできます。
+:math:`{\mathcal H}\Phi` のソースコードは `GitHub page <https://github.com/issp-center-dev/HPhi>`_ or `release page <https://github.com/issp-center-dev/HPhi/releases>`_ からダウンロードできます。
 
 
 Contents

diff --git a/doc/ja/source/introduction_ja.rst b/doc/ja/source/introduction_ja.rst
@@ -57,6 +57,10 @@ What is :math:`{\mathcal H}\Phi`?
 
 本ソフトウェアは以下の開発貢献者により開発されています。
 
+-  ver.3.5.1 (2022/6/14 リリース)
+
+-  ver.3.5 (2021/9/29 リリース) 
+
 -  ver.3.4 (2020/6/2 リリース)
 
    -  開発者
@@ -137,9 +141,7 @@ What is :math:`{\mathcal H}\Phi`?
 
 以下の環境で動作することを確認しています。
 
--  東京大学物性研究所スーパーコンピューターシステムB「sekirei」、システムC「enaga」
-
--  富士通 FX-10
+-  東京大学物性研究所スーパーコンピューターシステムB「ohtaka」
 
 -  Linux PC + intelコンパイラ
 

diff --git a/doc/ja/source/tutorial/fourier_ja.rst b/doc/ja/source/tutorial/fourier_ja.rst
@@ -4,11 +4,4 @@
 ===============================================
 
 このパッケージには、上で求めた相関関数をフーリエ変換し、プロットするユーティリティーが付属しています。
-このユーティリティーに関するマニュアルは ::
-
- doc/fourier/ja/_build/html/index.html
- doc/fourier/ja/_build/latex/fourier.pdf
- doc/fourier/en/_build/html/index.html
- doc/fourier/en/_build/latex/fourier.pdf
-
-にありますので、そちらを参照してください。
+詳細についてはAppendix Aをご覧ください。